Lesson: Pascal's Triangle and the Binomial Theorem
In this lesson, we will learn how to use Pascal’s triangle to find the coefficients of the algebraic expansion of any binomial expression of the form (a+b)ⁿ.
Sample Question Videos
Worksheet: 12 Questions • 4 Videos
By calculating the next row of Pascal’s triangle, find the coefficients of the expansion of .
Daniel now wants to calculate the coefficients for each of the terms of the expansion . By substituting into the expression above, or otherwise, calculate all of the coefficients of the expansion.
Find the coefficient of in the expansion of .
Calculate the numbers in the row of Pascal’s triangle and, hence, write out the coefficients of the expansion .
Now, by considering the different powers of and and using Pascal’s triangle, work out the coefficients of the expansion .